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Finding the Third Proportional to 1,682,853 and 3,670,302

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Solution

The third proportional to 1,682,853 and 3,670,302 is: 8,004,927.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,853 : 3,670,302 = 3,670,302 : x
  2. Step 2: Convert to fraction form
    1,682,853/3,670,302 = 3,670,302/x
  3. Step 3: Cross multiply
    1,682,853x = 3,670,302 × 3,670,302
  4. Step 4: Simplify right side
    1,682,853x = 13,471,116,771,204
  5. Step 5: Solve for x
    x = 13,471,116,771,204/1,682,853
  6. Step 6: Final answer
    x = 8,004,927.80

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.